What is the slope of y=3x+5
3
What is the equation of a line with a slope of 3 and and y-intercept of 6
y=3x+6
How can we find the slope from the table of values
Find the first differences
How can we find the slope from a graph
Find two points on the graph and put in the slope formula
slope of x=5
Undefined
When 2 lines are parallel
m1=m2
b1 is not equal to b2
When 2 lines are perpendicular
m1=-1/m2
Drawing a line with y-intercept and slope
Find slope, then use rise /run to find the next point
The slope of the line that passes through (1, 5) and (3, 11)
slope=y2-y1/(x2-x1)
m=3
The slope of y=3
Zero
Finding Equations of Lines
Given the Slope and y-intercept
Substitute the slope and y-intercept variables into the equation y = mx + b
Finding Equations of Lines
(Given a Graph)
Find the y-intercept. Find the closest coordinate point.
Calculate the slope using m=( y2-y1)/(x2-x1)
Given slope and one point
Substitute all values into and solve to get b.
Rewrite the equation using values for m and b only. y = mx + b
Finding equation
Given 2 points on a line (x1,y1) and (x2,y2)
Plot the two coordinates on the graph.
Draw a line between the two points and across the y-axis
(if it does not already cross). Note the y-intercept.
Calculate the slope between the two points using
m=(y2-y1)/(x2-x1)
Given two points on a line (x1, y1) and (x2, y2), without graphing
Calculate slope using .
Calculate y-intercept using the slope and one of the points given. y=mx+b
Substitute all values into and solve to get b. y=mx+b
Rewrite the equation using values for m and b only